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Laboratoire de Biochimie Théorique, UPR 9080, Centre National de la Recherche Scientifique, Institut de Biologie Physico-Chimique, et Université Paris, Paris, France
Correspondence: Address reprint requests to P. Derreumaux, Tel.: 33-1-58-41-50-16; E-mail: philippe.derreumaux{at}ibpc.fr.
| ABSTRACT |
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| INTRODUCTION |
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-protease (2
The kinetic model, by which the Aß peptides aggregate into amyloid fibrils, is believed to follow a nucleation-growth model, with a lag-phase of several days. Oligomerization is very sensitive to amino-acid variations. Residues 41 and 42 affect the characteristics of the nucleus (10
); Aß42 forms fibrils at a higher rate than Aß40 and the Alzheimer's disease-causing A21G (Flemish) mutation (11
) has a slower aggregation kinetic than wild-type Aß and the E22Q (Dutch) (12
,13
), E22K (Italian) (14
), E22G (Arctic) (15
), and D23N (Iowa) (16
) mutations (17
,18
).
In contrast to the late aggregates or protofibrils which are well characterized, the structures of the oligomers forming in the early steps of aggregation are poorly understood because they are transient in character. Although dimers are in equilibrium with higher-order species before the formation of the nucleus, dimer formation is certainly critical in Aß assembly. However, much remains to be elucidated regarding the structure of these dimers, which are sufficient for toxicity (19
,20
), from both the experimental and theoretical fronts. We know, however, that Aß40 and Aß42 form stable dimers in solution using fluorescence resonance energy transfer (21
23
). The stability of several Aß species in dimers and higher-order mers has been investigated by explicit solvent molecular dynamics (MD) simulations, including dimers of Aß1035 (24
), hexamers of Aß1536 (25
,26
), and octamers of Aß940 (27
). These studies at 300 K, however, explore local fluctuations around preformed arrangements. The assembly process of Aß140 and Aß142 dimers was studied by discontinuous MD (DMD) simulations, and planar ß-strand Aß dimers were found instable (28
). Similarly, the aggregation process of multimers of Aß40 and Aß42 (29
) has been explored using DMD simulations, but the results remain to be confirmed using a more elaborated chain representation and force field (29
).
In this study, we have investigated the effects of the point mutation A21G on Aß dimers by performing all-atom molecular dynamics simulations of Aß940, Aß942 and their Flemish variants (A21G) at 400 K starting from their fibrillar conformations. Note that omission of residues 18 does not prevent the peptide from forming fibrils (30
). The point mutation A21G is interesting because no mechanistic explanation has been offered for its effect on aggregation rate, in contrast to the mutations at positions 22 and 23 (31
,32
). We emphasize that our goal is not to determine the equilibrium structures of Aß dimers. This is currently out of reach by using high temperature MD simulations or replica exchange simulations with current computer facilities. Rather, our aim is to understand at an atomic level of detail the effects of the mutation A21G on fibrillarlike dimeric structures of Aß40 and Aß42.
| MATERIALS AND METHODS |
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These analyses, with the proposed model of Williams et al. (8
), indicate that the fibril structures are likely to evolve as additional experimental data become available, but such a refinement is very complicated since the dimensions and morphologies of fibrils vary with solution conditions and degrees of agitation (33
).
Dynamics simulations
MD simulations are performed at neutral pH using the program GROMACS2.0 and the all-hydrogen energy function GROMOS96 (34
). The starting point is the 2002 NMR solid-state structure of Aß40 fibril (4
), which lacks the atomic positions of residues 18. Note that both the Aß42 model and the 2006 Aß40 model were unknown at the beginning of this work. The initial structures for Aß42 and the A21G variants are constructed using the SWISS-MODEL server (35
).
All Aß models are solvated in a rectangular box of 90, 50, and 40 Å sides with
6000 simple point-charge water molecules and simulated using periodic boundary conditions. The particle-mesh Ewald method is used with a cutoff distance of 12 Å. Aß models are minimized by 300 steps of steepest descent and 600 steps of conjugate gradient and then equilibrated at the desired temperature for 80 ps under C
atom restraints followed by 80 ps free of any atomic restraints. Subsequently, MD simulations are performed in the canonical NPT ensemble. The time step for dynamics is 2.0 fs using the LINCS algorithm and the list of nonbonded interactions is updated every 20 fs. Temperature is controlled using a weak coupling to a bath of constant T (coupling time of 0.1 ps) and pressure by a weak coupling to a bath of constant P (1 atm, coupling time of 0.5 ps).
All Aß models are simulated for 10 ns at 400 K to increase phase space sampling. This is an advisable choice in contrast to the standard temperature (500 K) to induce unfolding and conformational changes. The Van Gunsteren group (36
) showed that the use of temperatures higher than 400 K is very likely to affect the unfolding, kinetics, and thermodynamics of proteins. Dinner and Karplus (37
) studied thermal folding and unfolding of lattice proteins and found that unfolding is the reversal of fast-track folding. Klimov and Thirumalai (38
) moved one step further and showed that folding pathways at 300 K and unfolding pathways at 390420 K are similar using off-lattice models. It follows that the present paths at 400 K are closely related to the conformational changes at 300 K, although the population of each dominant unfolded state changes with T. The Aß40 and its A21G variant are also simulated starting from the same structure using different initial velocities. All runs took 80 days on a cluster of five 1.5-GHz processors.
The trajectories are analyzed using several order parameters. These include the C
root mean-square (RMS) deviations from the minimized NMR structure and the C
RMS fluctuations (RMSF) relative to the average MD structure. We also follow the evolution of the radius of gyration Rg, the end-to-end distance, and the percentage of secondary structure content using the STRIDE program (39
). Because the Aß models differ in length, we only use residues 940 to compare the trajectories. The MD-generated structures are also clustered using a C
RMS deviation cutoff of 3 Å, and analyzed by their contact maps and percentages of native contacts. Here, native refers to the 2002 Aß40 solid-state NMR conformation, and a contact is defined when aliphatic carbon atoms of two nonsequential side chains come within 5.4 Å or any other atom of two nonsequential side chains lies within 4.6 Å (40
). The structural models are drawn by using the VMD software (41
).
| RESULTS |
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RMS deviations (RMSDs) of residues 940 from the minimized structures of monomers A and B are displayed in Fig. 1, a and b, for all Aß models. Aß40 is much less flexible than Aß42 and the mutants. The C
RMSD population of monomer A is essentially centered at 0.5 nm in Aß40, and varies between 0.5 and 0.9 nm in Aß42-A21G, 0.7 and 1.1 nm in Aß42, and between 0.7 and 1.25 nm in Aß40-A21G. The variability in conformations can be further explored by the distributions of the end-to-end C
distances between residues 9 and 40 in Fig. 1, c and d. In Aß40, the most populated end-to-end distance is centered at 2 nm in monomer A and spans larger distances in monomer B, which is in contrast with Aß42, where the end-to-end distance fluctuates between 0.8 and 2.8 nm in both monomers. Higher stability of Aß40 is also seen in the evolution of the radius of gyration (Rg) with time in Fig. 1 e and the distributions of Rg in Fig. 1 f. In Aß40, the MD-averaged Rg is 1.5 nm to be compared to the NMR value of 1.75 nm, and the Rg distribution has a well-defined peak. This contrasts with Aß42 and the mutants which have a lower mean radius of gyration (1.1 nm in Aß40-A21G, Fig. 1 e) and larger standard deviations of Rg (Fig. 1 f).
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The structural fluctuations, using the RMSD from the minimized and MD-averaged structures, the end-to-end distance, and the radius of gyration show that monomer A is less flexible than monomer B. This asymmetry in structural fluctuations of the monomers in a homodimer has been discussed in 10-ns MD simulations on decoys of Aß1035 at 300 K (24
). Asymmetric conformational changes were also observed by lattice (42
) and off-lattice (43
) aggregation MC simulations of homodimer amyloid-forming models. The effect of this asymmetry on fibril nucleus formation, remains, however, to be determined.
Overall, we see that the flexibility increases in the following order: Aß40
Aß42 A21G
Aß42 and Aß40-A21G. This conclusion is also supported by the analysis of the solvent-exposed surface area, using the method of Lee and Richards (44
), although the role of water molecules on dimer unfolding changes according to different sequences. The backbone atoms of residues 940 are more exposed to the solvent in Aß42 and Aß40-A21G than in Aß40 (Fig. 1 i). The side-chain atoms of residues 940 are more exposed in Aß40 than in Aß42 and the Aß variants (Fig. 1 j). (Identical results are obtained excluding residue 21.) This change in solvent accessibility does not have a one-to-one mapping with the amino-acid number. For instance, the distributions of solvent accessibility of the Asp22 side chain match exactly in all simulations, whereas those of Asp11 side-chain change (data not shown).
To investigate whether these results vary with different initial velocity distributions, the simulations of Aß40 and Aß40-A21G are repeated for 10 ns using the same starting structure. The RMSD between all pairs of structures is determined using a pool of 1000 structures taken at 10-ps intervals. By calculating for each Aß species the number of pairs of structures as a function of the RMSD deviation, we see that the RMSD plots superpose well from one run to another for Aß40 (Fig. 2 a) and Aß40-A21G (Fig. 2 b). Consistency between the runs is also seen in the C
RMSD from the minimized structure in Fig. 2 c and the evolution of the radius of gyration with time in Fig. 2 d. Fig. 2, e and f, show the RMSF profiles of monomers A and B in Aß40-A21G. The RMSFs are very similar in monomer A, but differ by 2 Å in the 2532 region of monomer B. Overall, these analyses indicate that different simulations on the same sequence produce equivalent results.
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-helix, ß-strand, and turn and random coil contents, using residues 940 for all species. As expected from high temperature simulations ignoring interactions with neighboring protofilaments, the percentage of ß-strand decreases, but the variation with Aß length and mutation A21G is rather surprising. Note that the percentage of ß-strand is 83% (26:31) in the NMR-model of Aß940. The MD-averaged percentage of ß-strand is 46% in both Aß40 and Aß42-A21G, and 37% in Aß40-A21G and Aß42. The variation in ß-strand content does not result from an increase in
-helix (its population amounts to a few percent) and turn content, but in random coil conformations.
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) regions with a high density of residues with ß-character (Fig. 4, a and c). On the other hand, in Aß40-A21G, the Ramachandran plot of Gly21 has a typical pattern of a glycine (Fig. 4 b), whereas in Aß42-A21G, the Ramachandran plot resembles that of a standard residue (Fig. 4 d). These results indicate that the residues 41 and 42 have a strong impact on the flexibility of the residue Gly at position 21, and may affect the loop-spanning residues 2130.
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atom of Lys28 and C
atom of Glu22 and Asp23. Salt bridges are considered formed if they come within 4.2 Å (45
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The final topology of Aß40 in Fig. 5 b is a planar four-stranded ß-sheet with native parallel registers between the strands S1 and between the strands S2, and nonnative antiparallel hydrogen-bonds between S2 of monomer B and S1 of monomer A. S1 encompasses residues 1120 in both monomers, S2 spans residues 3138 in monomer A and residues 3135 in monomer B. This structure, which lacks the salt bridge between Asp23 and Lys28, has replaced the native intramolecular contacts between the strands S1 and S2 (Fig. 6 b, panels AA and BB) by nonnative intermolecular contacts between residues 3440 of monomer A and residues 1420 of monomer B (Fig. 6 b, panel BA).
Aß40-A21G in Fig. 5 c is also a four-stranded ß-sheet with the strands S1 in parallel register, but the strands S2 are separated by 15 Å from each other and folded back against their strands S1. Strand S1 spans residues 1319 and 1316 in monomers A and B, whereas strand S2 covers residues 3538 in monomer A and 3435 in monomer B. The interface between the chains is essentially nonnative (Fig. 6 c, panels AB and BA), although the intramolecular intermolecular Phe19 and Met35 is preserved, and is characterized by a cluster of interactions between Met35, and eight residues at positions 17, 19, 20, 23, 27, 28, and 31 (Fig. 6 c, panel AA).
The final topology of Aß changes drastically with the presence of residues Ile41 and Ala42. Aß42 is essentially characterized by a seven-stranded ß-sheet, although a short
-helix occurs at positions 2226 in monomer A (Fig. 5 d). The strands cover residues 1420, 2627, 3031, and 3641 in monomer A and residues 1020, 3233, and 3840 in monomer B. Two salt bridges are formed: one between Glu22 and Lys16 within monomer B and the other between Asp23 of monomer B and Lys28 of monomer A. Met35 of monomer A is in contact with Phe19 of both monomers. In contrast to Aß42, Aß42-A21G leads to a five-stranded ß-sheet with mixed parallel and antiparallel strands (Fig. 5 e). Strands encompass residues 1127 and 2939 in monomer A, and residues 1318, 2533, and 3942 in monomer B. The intramolecular salt bridge between Glu22 and Lys28 is only formed in monomer B, and Met35 is in contact with Phe19 and Phe20 of monomer A.
It is of interest to determine the native interactions and the structural features that are shared by all four Aß species. We find that only the native intermolecular contact between His14 residues is conserved in all species. All final Aß dimers disrupt the interfaces between the strands S1 and S2, and between the strands of S2, but tend to preserve the interactions between the central hydrophobic clusters (CHC) spanning residues Leu17-Ala21, although the contacts observed are not conserved. For instance, the native intermolecular interaction between Phe19 residues is conserved in Aß40, Aß42, and its variant, but not in Aß40-A21G.
Comparison with in vitro and previous in silico experiments
Solution NMR studies of Aß1035 (47
), Aß140, and Aß142 (48
) showed that CHC is the most structured region. Similarly, MD simulations of Aß1035 in monomeric (49
) and dimeric (24
) forms showed that the CHC region is much less flexible than the rest of the protein. We find that this region, which is known to be essential for aggregation (50
), is well conserved in wild-type Aß40 and Aß42, but not in their variants, strands S1 covering residues 1316 and 1318 in the monomers B of Aß40-A21G and Aß42-A21G, respectively.
The residues Ile41 and Ala42 are known to play a crucial role in Aß oligomerization. Moritomo et al. (9
) found that the Aß42 I41T and A42T mutants aggregate potently, and proposed that the hydrophobicity of the C-terminal two residues of Aß42 is not related to its aggregative ability, and that the C-terminal three residues adopt the ß-sheet.
Hou et al. (48
) measured 1H
, 13C
, and 13Cß chemical shift indices of the Aß140 and Aß142 monomeric species and found that the C-terminus of Aß142 has a propensity for ß-sheet structure, whereas that of Aß140 has not. Lazo et al. (31
) coupled limited proteolysis and mass spectrometry and found that the residues Val39-Ala42 are protease-resistant in Aß142, while the residues Val39-Ala40 are not in Aß140. We find that the residues 41 and 42 have two major effects on the structure. Firstly, they favor the extension and formation of ß-strand at position 3942. Secondly, they disrupt the native interface between the chains and enhance the number of intramolecular interactions, irrespective of the amino acid at position 21. As seen in panels AA and BB of Fig. 6, d and e, both Aß42 and Aß42-A21G species display two new domains (encircled) that are absent in the Aß40 species: one involving residues 1327 and 2942 in monomer A, the other involving residues 1017 and 3742 in monomer B. In particular, Aß42 and its mutant display de novo intramolecular interactions between (Ile41, Ala42) and (His14, Gln15, Lys16, Val18, and Phe19). In addition, we see that Met35 contacts Val40 in Aß42 and its A21G mutant, whereas Met35 does not contact the C-terminal residues in Aß40 and its A21G mutant. This difference in Met35 contacts between the Aß40 and Aß42 species is made possible by the formation of a turn centered at Gly37-Gly38 in Aß42, but not in Aß40 (see Fig. 3). Such a finding is fully consistent with DMD simulations of multimers (29
) and MD simulations of a monomer (51
).
Several studies have emphasized the importance of the intramolecular salt bridge between residues 23 and 28 in fibril formation (5
,33
). An engineered lactam bridge between Asp23 and Lys28 increases the Aß140 fibrillogenesis rate by three orders of magnitude (52
). Solution NMR study and DMD simulations of the fragment Aß2130 also suggested a possible mechanism for the effects of mutations at positions 22 and 23, based on a change of the populations of the salt bridges 23:28 and 22:28 (31
,32
). In contrast, the NMR fibril model of Aß1742 points to an intermolecular salt bridge between residues 23 and 28. Our simulations provide strong evidence of the existence of all these salt bridges in equilibrium, whose populations are determined by the presence of Ile41 and Ala42, and the nature of the amino acid at position 21.
| CONCLUSIONS |
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-helix (53Firstly, Aß dimers are found in equilibrium between a wide range of topologies, ranging from four-stranded to seven-stranded ß-sheets, with the strands S2 very mobile and the location of the strands S1 fluctuating between residues 1120 (in Aß40) and residues 1316 (in Aß40-A21G). This finding raises the question whether an unique inhibitor can block propagation of these structurally distinct dimers into protofibrils.
Secondly, the effect of A21G mutation on Aß dimers is length-dependent and the structures and dynamics of Aß42-A21G cannot be extrapolated from those of Aß40-A21G, and vice versa. This is consistent with earlier experimental studies suggesting that substitutions at positions 22 and 23 produce different effects on Aß assembly depending on whether they occur in Aß40 or Aß42 (56
). Specifically, we find that the mutation A21G impacts Aß dimers in three ways. A21G destabilizes the ß-sheets and notably strands S2 in Aß40, but not in Aß42. A21G also increases, to a higher extent, the flexibility of the central hydrophobic cluster spanning residues 1721 in Aß40 than in Aß42, and affects, to various degrees, the populations of the intramolecular and intermolecular salt bridges involving Glu22, Asp23, and Lys28 in Aß40 and Aß42. These three factors likely slow down the formation of higher-order species to direct further assembly into protofibril and could explain the reduced aggregation rate of Aß fibrils containing the Flemish disease-causing mutation.
| ACKNOWLEDGEMENTS |
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A.H. is supported by the Ministère de l'Education. P.D. thanks the CNRS and Université of Paris 7 for financial support and the Centre Informatique de l'Enseignement Supérieur and Institut du Développement et des Resources en Informatique Scientifique centers for providing computational support.
Submitted on June 8, 2006; accepted for publication July 19, 2006.
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